Procedure of the Galerkin Representation in Transversely Isotropic Elasticity

  • Dimitri V. GeorgievskiiEmail author
Part of the Understanding Complex Systems book series (UCS)


An algorithm for splitting an equilibrium displacement equation system with bulk forces for a transversely isotropic linearly-elastic medium is described that leads to three uncoupled equations with certain canonical fourth-order differential operators in the three components of the displacement vector. It is shown that, in the special case of isotropy, the proposed algorithm is mathematically equivalent to the Galerkin representation, well-known in the theory of elasticity.


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© Springer International Publishing AG, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Lomonosov Moscow State UniversityMoscowRussian Federation

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